Regularity criterion for 3 D Navier-Stokes equations in terms of the direction of the velocity ∗

  • Alexis Vasseur April
  • Published 2007

Abstract

In this short note, we give a link between the regularity of the solution u to the 3D Navier-Stokes equation, and the behavior of the direction of the velocity u/|u|. It is shown that the control of div(u/|u|) in a suitable Lpt (L q x) norm is enough to ensure global regularity. The result is reminiscent of the criterion in terms of the direction of the… (More)

Topics

  • Presentations referencing similar topics